Question 1

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
-$(3,-1), m=-\frac{4}{5}$

Accepted Answer

A)  $y=-\frac{4}{5} x+\frac{7}{5}$ 
B)  $y=-\frac{4}{5} x+\frac{17}{5}$ 
C)  $y=\frac{4}{5} x-\frac{7}{5}$ 
D)  $y=-\frac{4}{5} x+\frac{11}{5}$ 
A)  $y=-\frac{4}{5} x+\frac{7}{5}$ 
B)  $y=-\frac{4}{5} x+\frac{17}{5}$ 
C)  $y=\frac{4}{5} x-\frac{7}{5}$ 
D)  $y=-\frac{4}{5} x+\frac{11}{5}$

Question 2

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$3 x-18 y=0$

Accepted Answer

A)  $(0,0),(0,0)$
  
B)  $(0,0),(0,0)$
  
A)  $(0,0),(0,0)$
  
B)  $(0,0),(0,0)$

Question 3

Graph the linear inequality.
-$x-y>-4$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 4

Solve the problem.
-Over one particular stretch of road, the Whitepoint Highway rises $441 \mathrm{ft}$ over a horizontal distance of $3900 \mathrm{ft}$. Find the grade of the road.

Accepted Answer

A)  $0.09 \%$ 
B)  $11.3 \%$ 
C)  $5.7 \%$ 
D)  $2.8 \%$ 
A)  $0.09 \%$ 
B)  $11.3 \%$ 
C)  $5.7 \%$ 
D)  $2.8 \%$

Question 5

Graph the linear inequality.
-Y<-2X+1

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 6

Choose the ordered pair which is a solution of the inequality.
-$2 x+3 y \leq 0$
$(1,-1),(1,1),(-1,1),\left(\frac{1}{2}, \frac{1}{3}\right)$

Accepted Answer

A)  $\left(\frac{1}{2}, \frac{1}{3}\right)$ 
B)  $(1,1)$ 
C)  $(1,-1)$ 
D)  $(-1,1)$ 
A)  $\left(\frac{1}{2}, \frac{1}{3}\right)$ 
B)  $(1,1)$ 
C)  $(1,-1)$ 
D)  $(-1,1)$

Question 7

Find an equation of the line with the given slope and $y$-intercept.
-Slope $=-\frac{5}{6}, y$-intercept $=\left(0, \frac{5}{3}\right)$

Accepted Answer

A)  $y=\frac{5}{6} x+\frac{5}{3}$ 
B)  $y=-\frac{5}{6} x-\frac{5}{3}$ 
C)  $y=-\frac{5}{6} x+\frac{5}{3}$ 
D)  $y=\frac{5}{6} x-\frac{5}{3}$ 
A)  $y=\frac{5}{6} x+\frac{5}{3}$ 
B)  $y=-\frac{5}{6} x-\frac{5}{3}$ 
C)  $y=-\frac{5}{6} x+\frac{5}{3}$ 
D)  $y=\frac{5}{6} x-\frac{5}{3}$

Question 8

Graph using the slope and the $y$-intercept.
-$y=x+1$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 9

List the quadrant(s) in which the given point is located.
-$(-19,-9)$

Accepted Answer

A)  II 
B)  I 
C)  III 
D)  IV 
A)  II 
B)  I 
C)  III 
D)  IV

Question 10

Solve the problem.
-Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $\$ 14,500$ in 1982 and $\$ 55,500$ in 1987. Let $x=0$ represent 1982. Find the equation giving yearly sales $\mathrm{y}$.

Accepted Answer

A)  $S(x)=41,000 x+14,500$ 
B)  $S(x)=8200 x+14,500$ 
C)  $\mathrm{S}(\mathrm{x})=41,000 \mathrm{x}+55,500$ 
D)  $S(x)=8200 x+55,500$ 
A)  $S(x)=41,000 x+14,500$ 
B)  $S(x)=8200 x+14,500$ 
C)  $\mathrm{S}(\mathrm{x})=41,000 \mathrm{x}+55,500$ 
D)  $S(x)=8200 x+55,500$

Question 11

Solve the problem.
-Suppose the sales of a particular brand of appliance satisfy the relationship $y=250 x+5800$, where $\mathrm{y}$ represents the number of sales in year $\mathrm{x}$, with $\mathrm{x}=0$ corresponding to 1982 . Find the number of sales in 1990.

Accepted Answer

A)  7550 sales 
B)  15,350 sales 
C)  7800 sales 
D)  15,600 sales 
A)  7550 sales 
B)  15,350 sales 
C)  7800 sales 
D)  15,600 sales

Question 12

Find the slope of the line going through the pair of points.
-$(-5,6),(4,6)$

Accepted Answer

A)  1 
B)  3 
C)  0 
D)  12 
A)  1 
B)  3 
C)  0 
D)  12

Question 13

Find the coordinates of the labeled points.
-

Accepted Answer

A)  $\mathrm{A}(4,24)$; $\mathrm{B}(7,-4)$ 
B)  $\mathrm{A}(4,4)$; $\mathrm{B}(-4,7)$ 
C)  $\mathrm{A}(4,7)$; $\mathrm{B}(4,7)$ 
D)  $\mathrm{A}(4,4)$; $\mathrm{B}(7,-4)$ 
A)  $\mathrm{A}(4,24)$; $\mathrm{B}(7,-4)$ 
B)  $\mathrm{A}(4,4)$; $\mathrm{B}(-4,7)$ 
C)  $\mathrm{A}(4,7)$; $\mathrm{B}(4,7)$ 
D)  $\mathrm{A}(4,4)$; $\mathrm{B}(7,-4)$

Question 14

Graph.
-$2 y=-5$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 15

Determine whether the given ordered pair is a solution of the equation.
-$x+y=10$; $(5,3)$

Accepted Answer

A) True 
 B)False

Question 16

Solve the problem.
-Find the rate of change. Use appropriate units.

Accepted Answer

A)  - $\$ 4.00$ thousand per year 
B)  $\$ 3.00$ thousand per year 
C)  $\$ 4.00$ thousand per year 
D)  $-\$ 3.00$ thousand per year 
A)  - $\$ 4.00$ thousand per year 
B)  $\$ 3.00$ thousand per year 
C)  $\$ 4.00$ thousand per year 
D)  $-\$ 3.00$ thousand per year

Question 17

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-$6 \mathrm{x}-2 \mathrm{y}=8 ;(0,-4),(2,2)$

Accepted Answer

Show that @#LAT-DLM& is a solution:
@#LAT-DLM&
@#LAT-DLM& ?

Question 18

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
-$y=3 x-4$
$9 x+3 y=8$

Accepted Answer

A)  Neither 
B)  Perpendicular 
C)  Parallel 
A)  Neither 
B)  Perpendicular 
C)  Parallel

Question 19

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-y= x-3 ;(6,3),(3,0)

Accepted Answer

Show that @#LAT-DLM& is a solution:
@#LAT-DLM&
@#LAT-DLM&
@#LAT-DLM&
T

Question 20

Find the slope of the line.
-

Accepted Answer

A)  $\frac{7}{6}$ 
B)  3 
C)  0 
D)  Undefined 
A)  $\frac{7}{6}$ 
B)  3 
C)  0 
D)  Undefined

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(3,-1), m=-\frac{4}{5}$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $3 x-18 y=0$

Graph the linear inequality. - $x-y>-4$

Solve the problem. -Over one particular stretch of road, the Whitepoint Highway rises $441 \mathrm{ft}$ over a horizontal distance of $3900 \mathrm{ft}$ . Find the grade of the road.

Graph the linear inequality. -Y<-2X+1

Choose the ordered pair which is a solution of the inequality. - $2 x+3 y \leq 0$ $(1,-1),(1,1),(-1,1),\left(\frac{1}{2}, \frac{1}{3}\right)$

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-\frac{5}{6}, y$ -intercept $=\left(0, \frac{5}{3}\right)$

Graph using the slope and the $y$ -intercept. - $y=x+1$

List the quadrant(s) in which the given point is located. - $(-19,-9)$

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $\$ 14,500$ in 1982 and $\$ 55,500$ in 1987. Let $x=0$ represent 1982. Find the equation giving yearly sales $\mathrm{y}$ .

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship $y=250 x+5800$ , where $\mathrm{y}$ represents the number of sales in year $\mathrm{x}$ , with $\mathrm{x}=0$ corresponding to 1982 . Find the number of sales in 1990.

Find the slope of the line going through the pair of points. - $(-5,6),(4,6)$

Find the coordinates of the labeled points. -

Graph. - $2 y=-5$

Determine whether the given ordered pair is a solution of the equation. - $x+y=10$ ; $(5,3)$

Solve the problem. -Find the rate of change. Use appropriate units.

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $y=3 x-4$ $9 x+3 y=8$

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. -y= x-3 ;(6,3),(3,0)

Find the slope of the line. -

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 3: Graphs of Linear Equations

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (3,−1),m=−45(3,-1), m=-\frac{4}{5}(3,−1),m=−54​

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - 3x−18y=03 x-18 y=03x−18y=0

Graph the linear inequality. - x−y>−4x-y>-4x−y>−4

Solve the problem. -Over one particular stretch of road, the Whitepoint Highway rises 441ft441 \mathrm{ft}441ft over a horizontal distance of 3900ft3900 \mathrm{ft}3900ft . Find the grade of the road.

Graph the linear inequality. -Y<-2X+1

Choose the ordered pair which is a solution of the inequality. - 2x+3y≤02 x+3 y \leq 02x+3y≤0 (1,−1),(1,1),(−1,1),(12,13)(1,-1),(1,1),(-1,1),\left(\frac{1}{2}, \frac{1}{3}\right)(1,−1),(1,1),(−1,1),(21​,31​)

Find an equation of the line with the given slope and yyy -intercept. -Slope =−56,y=-\frac{5}{6}, y=−65​,y -intercept =(0,53)=\left(0, \frac{5}{3}\right)=(0,35​)

Graph using the slope and the yyy -intercept. - y=x+1y=x+1y=x+1

List the quadrant(s) in which the given point is located. - (−19,−9)(-19,-9)(−19,−9)

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $14,500\$ 14,500$14,500 in 1982 and $55,500\$ 55,500$55,500 in 1987. Let x=0x=0x=0 represent 1982. Find the equation giving yearly sales y\mathrm{y}y .

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship y=250x+5800y=250 x+5800y=250x+5800 , where y\mathrm{y}y represents the number of sales in year x\mathrm{x}x , with x=0\mathrm{x}=0x=0 corresponding to 1982 . Find the number of sales in 1990.

Find the slope of the line going through the pair of points. - (−5,6),(4,6)(-5,6),(4,6)(−5,6),(4,6)

Find the coordinates of the labeled points. -

Graph. - 2y=−52 y=-52y=−5

Determine whether the given ordered pair is a solution of the equation. - x+y=10x+y=10x+y=10 ; (5,3)(5,3)(5,3)

Solve the problem. -Find the rate of change. Use appropriate units.

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - 6x−2y=8;(0,−4),(2,2)6 \mathrm{x}-2 \mathrm{y}=8 ;(0,-4),(2,2)6x−2y=8;(0,−4),(2,2)

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - y=3x−4y=3 x-4y=3x−4 9x+3y=89 x+3 y=89x+3y=8

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. -y= x-3 ;(6,3),(3,0)

Find the slope of the line. -

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Equations of Lines and Simplifying Radical Expressions

Filters

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(3,-1), m=-\frac{4}{5}$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $3 x-18 y=0$

Graph the linear inequality. - $x-y>-4$

Solve the problem. -Over one particular stretch of road, the Whitepoint Highway rises $441 \mathrm{ft}$ over a horizontal distance of $3900 \mathrm{ft}$ . Find the grade of the road.

Choose the ordered pair which is a solution of the inequality. - $2 x+3 y \leq 0$ $(1,-1),(1,1),(-1,1),\left(\frac{1}{2}, \frac{1}{3}\right)$

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-\frac{5}{6}, y$ -intercept $=\left(0, \frac{5}{3}\right)$

Graph using the slope and the $y$ -intercept. - $y=x+1$

List the quadrant(s) in which the given point is located. - $(-19,-9)$

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $\$ 14,500$ in 1982 and $\$ 55,500$ in 1987. Let $x=0$ represent 1982. Find the equation giving yearly sales $\mathrm{y}$ .

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship $y=250 x+5800$ , where $\mathrm{y}$ represents the number of sales in year $\mathrm{x}$ , with $\mathrm{x}=0$ corresponding to 1982 . Find the number of sales in 1990.

Find the slope of the line going through the pair of points. - $(-5,6),(4,6)$

Graph. - $2 y=-5$

Determine whether the given ordered pair is a solution of the equation. - $x+y=10$ ; $(5,3)$

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $y=3 x-4$ $9 x+3 y=8$